Modeling the Removal by Rain of Two Interacting Gases Forming Distinct Particulate Matters in the Atmosphere

This paper deals with the removal of two interacting gases (gaseous pollutants) forming two distinct particulate matters, namely smaller and larger particulate matters, by rain from the atmosphere. There are several sources that release these gases and particulate particles into the environment. The conversion of gas to particle in the atmosphere results in the formation of smaller particulate matters and these particulate matters combine to form larger particulate matters. Furthermore, the interaction of two gases leads to the formation of larger particulate matters in the atmosphere. The presumption is that there are six interacting phases in the atmosphere under consideration, comprising of the raindrops phase, two distinct phases of gaseous pollutants, smaller and larger particulate matters phases, and a combined phase of gases absorbed in the raindrops. A system of ordinary differential equations is used to develop the mathematical model. In order to investigate the proposed mathematical model, stability theory of differential equation is applied. The results of the theoretical investigation reveal that the gaseous pollutants and the particulate matters are considerably removed by rain from the atmosphere. To verify the findings of analytical investigation, numerical simulation of the model is also executed.